Releasing Ware would open up $7.4 million in salary-cap space. The Cowboys currently sit at a projected $21 million over the 2014 cap.

Earlier this week, Jones placed the blame for the Cowboys' financial nightmare squarely on his own shoulders.

"All of that boils down to management of a cap, management of certainly having players that deserve to get the money that you got," Jones said, the team's general manager, per ESPN.com. "When I look back on it, we probably paid some people that we probably would have been better off not paying."

There is no probably about it.

The 31-year-old Ware is coming off an injury-plagued season with the worst statistical output of his career. While we've continued to maintain Jones would be hard-pressed to cut Ware, a restructure makes sense for both sides.

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Ware has been amicable to rework the deal to add years and lower his cap number this year -- a move Jones often uses with his big-name players. The question will be how much Ware is willing to give up in a restructured deal to avoid free agency.

At this point, however, the team hasn't even reached out to gauge that number.